Question

Which facts are true for the graph of the function below? Check all that apply.

Answer 1

The given function is:

$f(x)= log_{0.521}(x)$

The statement A is true. Substituting x = 1 in given expression we get 0. So, (1,0) is the x-intercept of the function.

The statement B is false. There is no y-intercept of the function. 

The statement C is false. The base of log is less than 1, so it will be a decreasing function. 

The statement D is true.

The statement E if true. Range of the log function is set of all Real numbers.

The statement F is true. The given log function is defined for values of x greater than 0. 

So the correct options are A, D, E and F